12150784800 has 1296 divisors, whose sum is σ = 56682872064. Its totient is φ = 2419200000.

The previous prime is 12150784777. The next prime is 12150784819. The reversal of 12150784800 is 848705121.

12150784800 is a `hidden beast` number, since 121 + 50 + 7 + 8 + 480 + 0 = 666.

It is a super-2 number, since 2×12150784800² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 120304750 + ... + 120304850.

It is an arithmetic number, because the mean of its divisors is an integer number (43736784).

Almost surely, 2^12150784800 is an apocalyptic number.

12150784800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12150784800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28341436032).

12150784800 is an abundant number, since it is smaller than the sum of its proper divisors (44532087264).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12150784800 is a wasteful number, since it uses less digits than its factorization.

12150784800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 12150784800 in words is "twelve billion, one hundred fifty million, seven hundred eighty-four thousand, eight hundred".